A researcher wants to deterimine if there is any difference between the average

Question

A researcher wants to deterimine if there is any difference between the average wear of two types of automobile tires, 1 and 2. To do so, she chose to "pair" the sample measurements, comparing the wear for the two types of tires on each of 7 automobiles, as shown below. Automobile 1 2 3 4 5 6 7 Tire 1 8 15 7 9 10 13 11 Tire 2 12 18 8 9 12 11 10 d = tire 1 - tire 2 The sample standard deviation of the differences is 2.16. What is the 99% confidence interval for the population mean difference in wear between tire 1 and tire 2?

Explanation / Answer

A researcher wants to deterimine if there is any difference between the average wear of two types of automobile tires, 1 and 2. To do so, she chose to "pair" the sample measurements, comparing the wear for the two types of tires on each of 7 automobiles, as shown below. Automobile 1 2 3 4 5 6 7 Tire 1 8 15 7 9 10 13 11 Tire 2 12 18 8 9 12 11 10 d = tire 1 - tire 2 The sample standard deviation of the differences is 2.16. What is the 99% confidence interval for the population mean difference in wear between tire 1 and tire 2?

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